A right pyramid with a square base measuring 6 inches on each side and height 10 inches has been inscribed in a cone as shown in the diagram below. A cone and square pyramid is shown. The cone has a height of 10 inches. The square pyramid with a height of 6 centimeters and a base length of 6 inches. An image of the a square inscribed in a circle is also shown. The four unlabeled vertices of the square are shown touching the circumference of the circle. Find the volume of the cone. Round your answer to the nearest whole cubic inch. The volume of the cone is approximately ___ cubic inches.